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324244440410112 = 2113217591386741
BaseRepresentation
bin100100110111001100000101…
…0101100001110100000000000
31120112001110120112212012222200
41021232120022230032200000
5314444410103221110422
63105335501202433200
7125203613333645025
oct11156301254164000
91515043515765880
10324244440410112
1194350327638192
12304488b3062800
1310bc01727c70b1
145a0d72c2b954c
15277451e3782ac
hex126e60ab0e800

324244440410112 has 72 divisors (see below), whose sum is σ = 936477473210370. Its totient is φ = 108081480130560.

The previous prime is 324244440409991. The next prime is 324244440410117. The reversal of 324244440410112 is 211014044442423.

324244440410112 is a `hidden beast` number, since 3 + 2 + 4 + 244 + 4 + 404 + 1 + 0 + 1 + 1 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 322794978518016 + 1449461892096 = 17966496^2 + 1203936^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (324244440410117) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8795674939 + ... + 8795711802.

Almost surely, 2324244440410112 is an apocalyptic number.

324244440410112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

324244440410112 is an abundant number, since it is smaller than the sum of its proper divisors (612233032800258).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

324244440410112 is a wasteful number, since it uses less digits than its factorization.

324244440410112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17591386769 (or 17591386746 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 324244440410112 its reverse (211014044442423), we get a palindrome (535258484852535).

The spelling of 324244440410112 in words is "three hundred twenty-four trillion, two hundred forty-four billion, four hundred forty million, four hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4608 6144 9216 18432 17591386741 35182773482 52774160223 70365546964 105548320446 140731093928 158322480669 211096640892 281462187856 316644961338 422193281784 562924375712 633289922676 844386563568 1125848751424 1266579845352 1688773127136 2251697502848 2533159690704 3377546254272 4503395005696 5066319381408 6755092508544 9006790011392 10132638762816 13510185017088 18013580022784 20265277525632 27020370034176 36027160045568 40530555051264 54040740068352 81061110102528 108081480136704 162122220205056 324244440410112